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Finding the Fourth Proportional to 216,382.74, 298,606.14 and 120,905.88

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Solution

The fourth proportional to 216,382.74, 298,606.14 and 120,905.88 is: 166,848.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,382.74 : 298,606.14 = 120,905.88 : x
  2. Step 2: Convert to fraction form
    216,382.74/298,606.14 = 120,905.88/x
  3. Step 3: Cross multiply
    216,382.74x = 298,606.14 × 120,905.88
  4. Step 4: Simplify right side
    216,382.74x = 36,103,238,130.10
  5. Step 5: Solve for x
    x = 36,103,238,130.10/216,382.74
  6. Step 6: Final answer
    x = 166,848.97

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.